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Show that no matter how large the population is the

Suppose that it is desired to estimate the proportion of persons in a large population who have a certain characteristic. A random sample of 100 persons is selected from the population without replacement, and the proportion X of persons in the sample who have the characteristic is observed. Show that, no matter how large the population is, the standard deviation of X is at most 0.05.

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Basic Statistics: Show that no matter how large the population is the

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